Answer:
The correct option is B....
Explanation:
The given equation is:
x + 2y = 12 -----equation 1
- x= -y-6. -------equation 2
lets take equation 2:
-x=-y-6
Take minus as common on R.H.S
-x= -(y+6)
x=y+6 (Lets call it equation 3)
Substitute the value of x in the first equation:
x+2y=12
y+6+2y=12
Combine the like terms:
y+2y = 12-6
3y=6
Divide both the sides by 3
3y/3=6/3
y=2
Now substitute the value of y in equation 3:
x=y+6
x=2+6
x=8
Thus the solution set is (x,y){(8,2)}.
The correct option is B....